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Kinetics of irreversible consecutive processes with first order second steps: analytical solutions

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Abstract

Analytical solutions are derived for a family of two-stage reactions, in which the later process is first order with respect to the product of the previous, non-first order step. A general strategy is shown that is suitable to handle typical cases. The strategy is demonstrated by considering, zeroth order, second order, mixed second order and third order initial reactions, analytical solutions for all of which can be obtained and advantageously used. The solutions can also be used as archetypes of intermediate formation and decay in chemical kinetics.

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Acknowledgments

The research was supported by the EU and co-financed by the European Social Fund under the project ENVIKUT (TÁMOP-4.2.2.A-11/1/KONV-2012-0043).

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Authors and Affiliations

  1. Department of Inorganic and Analytical Chemistry, University of Debrecen, P.O.B. 21, Debrecen, 4010, Hungary

    Gábor Lente

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  1. Gábor Lente
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Correspondence to Gábor Lente.

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Lente, G. Kinetics of irreversible consecutive processes with first order second steps: analytical solutions. J Math Chem 53, 1172–1183 (2015). https://doi.org/10.1007/s10910-015-0477-7

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  • DOI: https://doi.org/10.1007/s10910-015-0477-7

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